Remove the absolute value term. This creates a <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> on the right side of the equation because <math><mstyle displaystyle="true"><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mo>=</mo><mo>±</mo><mi>x</mi></mstyle></math> .

First, use the positive value of the <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> to find the first solution.

Move all terms not containing <math><mstyle displaystyle="true"><mi>w</mi></mstyle></math> to the right side of the equation.

Subtract <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> from <math><mstyle displaystyle="true"><mn>39</mn></mstyle></math> .

Divide each term in <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn><mi>w</mi><mo>=</mo><mn>36</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> and simplify.

Divide each term in <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn><mi>w</mi><mo>=</mo><mn>36</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> .

Simplify the left side.

Cancel the common factor of <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mi>w</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Simplify the right side.

Divide <math><mstyle displaystyle="true"><mn>36</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> .

Next, use the negative value of the <math><mstyle displaystyle="true"><mo>±</mo></mstyle></math> to find the second solution.

Move all terms not containing <math><mstyle displaystyle="true"><mi>w</mi></mstyle></math> to the right side of the equation.

Subtract <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> from both sides of the equation.

Subtract <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> from <math><mstyle displaystyle="true"><mo>-</mo><mn>39</mn></mstyle></math> .

Divide each term in <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn><mi>w</mi><mo>=</mo><mo>-</mo><mn>42</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> and simplify.

Divide each term in <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn><mi>w</mi><mo>=</mo><mo>-</mo><mn>42</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> .

Simplify the left side.

Cancel the common factor of <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mi>w</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Simplify the right side.

Divide <math><mstyle displaystyle="true"><mo>-</mo><mn>42</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>6</mn></mstyle></math> .

The complete solution is the result of both the positive and negative portions of the solution.

Do you know how to Solve the Absolute Value Inequality for w |3-6w|=39? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | one billion two hundred sixty-five million five hundred fifty-one thousand eight hundred thirty-one |
---|

- 1265551831 has 4 divisors, whose sum is
**1275212664** - The reverse of 1265551831 is
**1381555621** - Previous prime number is
**131**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 37
- Digital Root 1

Name | nine hundred fifty-five million six hundred eighty-five thousand seven hundred seventy-eight |
---|

- 955685778 has 32 divisors, whose sum is
**2004393600** - The reverse of 955685778 is
**877586559** - Previous prime number is
**73**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 60
- Digital Root 6

Name | one hundred fifty-eight million ninety-four thousand nine hundred two |
---|

- 158094902 has 16 divisors, whose sum is
**272443392** - The reverse of 158094902 is
**209490851** - Previous prime number is
**191**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 38
- Digital Root 2